What is the Greatest Common Factor of 356 and 365?
Greatest common factor (GCF) of 356 and 365 is 1.
GCF(356,365) = 1
We will now calculate the prime factors of 356 and 365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 356 and 365.
How to find the GCF of 356 and 365?
We will first find the prime factorization of 356 and 365. After we will calculate the factors of 356 and 365 and find the biggest common factor number .
Step-1: Prime Factorization of 356
Prime factors of 356 are 2, 89. Prime factorization of 356 in exponential form is:
356 = 22 × 891
Step-2: Prime Factorization of 365
Prime factors of 365 are 5, 73. Prime factorization of 365 in exponential form is:
365 = 51 × 731
Step-3: Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178
Step-4: Factors of 365
List of positive integer factors of 365 that divides 356 without a remainder.
1, 5, 73
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 356 and 365. The biggest common factor number is the GCF number.
So the greatest common factor 356 and 365 is 1.
Also check out the Least Common Multiple of 356 and 365
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